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Finding the Fourth Proportional to 2,502.34, 3,746.67 and 1,809.70

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Solution

The fourth proportional to 2,502.34, 3,746.67 and 1,809.70 is: 2,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.34 : 3,746.67 = 1,809.70 : x
  2. Step 2: Convert to fraction form
    2,502.34/3,746.67 = 1,809.70/x
  3. Step 3: Cross multiply
    2,502.34x = 3,746.67 × 1,809.70
  4. Step 4: Simplify right side
    2,502.34x = 6,780,348.70
  5. Step 5: Solve for x
    x = 6,780,348.70/2,502.34
  6. Step 6: Final answer
    x = 2,709.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.